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    <periodOfReport>2020-08-27</periodOfReport>

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    <issuer>
        <issuerCik>0001636519</issuerCik>
        <issuerName>Madison Square Garden Sports Corp.</issuerName>
        <issuerTradingSymbol>MSGS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001725601</rptOwnerCik>
            <rptOwnerName>Lustgarten Andrew</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2 PENNSYLVANIA PLAZA</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10121</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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        <nonDerivativeTransaction>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
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                <transactionPricePerShare>
                    <value>171.48</value>
                </transactionPricePerShare>
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                <sharesOwnedFollowingTransaction>
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        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2020-08-27</value>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>10303</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F8"/>
            </exerciseDate>
            <expirationDate>
                <value>2023-09-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>10303</value>
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            </underlyingSecurity>
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            <transactionTimeliness>
                <value></value>
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                <transactionPricePerShare>
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                <transactionAcquiredDisposedCode>
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                <value>2020-08-28</value>
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                <underlyingSecurityShares>
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                <value></value>
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                <transactionShares>
                    <value>700</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
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            <exerciseDate>
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            <expirationDate>
                <value>2020-08-28</value>
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                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>700</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>0</value>
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            <ownershipNature>
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        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each performance restricted stock unit (&quot;PSU&quot;) was granted on August 30, 2017 under the Madison Square Garden Sports Corp. (&quot;MSGS&quot;) 2015 Employee Stock Plan (the &quot;2015 Employee Stock Plan&quot;). The PSUs vested on August 27, 2020 upon the achievement of performance criteria established at the time of grant.</footnote>
        <footnote id="F2">Each PSU was granted on April 19, 2018 under the 2015 Employee Stock Plan. The PSUs vested on August 27, 2020 upon the achievement of performance criteria established at the time of grant.</footnote>
        <footnote id="F3">Represents PSUs of MSGS withheld to satisfy tax withholding obligations in connection with the vesting of PSUs described in footnotes 1 and 2 above, exempt under Rule 16b-3.</footnote>
        <footnote id="F4">Each restricted stock unit (&quot;RSU&quot;) was granted on April 19, 2018 under the 2015 Employee Stock Plan and represents a right to receive one share of Class A Common Stock or the cash equivalent thereof. One-third of the RSUs vested and were settled on August 30, 2018.  One-third of the RSUs vested and were settled on August 30, 2019. The remaining one-third of the RSUs vested and settled on August 28, 2020.</footnote>
        <footnote id="F5">Each RSU was granted on August 30, 2017 under the 2015 Employee Stock Plan and represents a right to receive one share of Class A Common Stock or the cash equivalent thereof.  One-third of the RSUs vested and were settled on August 30, 2018.  One-third of the RSUs vested and were settled on August 30, 2019. The remaining one-third of the RSUs vested and settled on August 28, 2020.</footnote>
        <footnote id="F6">Represents RSUs of MSGS withheld to satisfy tax withholding obligations in connection with the vesting of RSUs described in footnotes 4 and 5, exempt under Rule 16b-3.</footnote>
        <footnote id="F7">Each RSU is granted under the 2015 Employee Stock Plan and represents a right to receive one share of Class A Common Stock or the cash equivalent thereof.</footnote>
        <footnote id="F8">The RSUs are scheduled to vest in three equal installments on September 15, 2021, September 15, 2022 and September 15, 2023.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Mark C. Cresitello, Attorney-in-Fact for Andrew Lustgarten</signatureName>
        <signatureDate>2020-08-31</signatureDate>
    </ownerSignature>
</ownershipDocument>
